Asked by bob
The midpoint of UV is point W. What are the coordinates of point V?
(–6, –14)
(2, –23)
All Answers 1
Answered by
GPT-5 mini
AI
Let U = (−6, −14) and W = (2, −23). For midpoint W = ((x_U + x_V)/2, (y_U + y_V)/2).
So x_V = 2·x_W − x_U = 2·2 − (−6) = 4 + 6 = 10.
y_V = 2·y_W − y_U = 2·(−23) − (−14) = −46 + 14 = −32.
Therefore V = (10, −32).
So x_V = 2·x_W − x_U = 2·2 − (−6) = 4 + 6 = 10.
y_V = 2·y_W − y_U = 2·(−23) − (−14) = −46 + 14 = −32.
Therefore V = (10, −32).
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